Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
448 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C22×#14268637 | C2 | semidirect |
| 4. #20298871 | C2 | direct (N × H) |
| 5. C2×#16813557 | C2 | semidirect |
| 6. C2×#16813541 | C2 | semidirect |
| 7. C2×#16813540 | C2 | semidirect |
| 16. C2×#14268637 | C22 | semidirect |
| 25. #16813557 | C22 | semidirect |
| 26. #16813541 | C22 | semidirect |
| 27. #16813540 | C22 | semidirect |
| 131. C2×C113 | #473 | semidirect |
| 134. C113 | C2×#473 | semidirect |
| 265. C2 | #20298871 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813652 | 2 |
| C22×#14268637 | 2 |
| C2×#16813629 | 2 |
| #20298871 | 2 |
| C2×#16813557 | 2 |
| C2×#16813541 | 2 |
| C2×#16813540 | 2 |
| C2×#137×C113 | 2 |
| C2×#473 | 113 |